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HIV Infection Phase 3 Non-Inferiority NCT00711009

PROGRESS: Complete Statistical Analysis of Lopinavir/Ritonavir Regimens in HIV Infection

An independent statistical review of the randomized phase 3 PROGRESS trial comparing lopinavir/ritonavir plus emtricitabine/tenofovir disoproxil fumarate with a nucleoside-sparing regimen of lopinavir/ritonavir plus raltegravir in human immunodeficiency virus infection.

Trial period: 2008-07 to 2009-11  ·  Enrollment: 206  ·  Randomized parallel design
Scope of this record

This page provides an independent statistical analysis and educational interpretation of publicly reported results. ClinicalTrials.gov provides the official trial registry record.

1. Trial at a Glance

PROGRESS was a randomized, open-label, parallel-group phase 3 trial comparing lopinavir/ritonavir plus emtricitabine/tenofovir disoproxil fumarate with lopinavir/ritonavir plus raltegravir in participants with human immunodeficiency virus infection. The registered primary endpoints included virologic response at Week 48 and two safety-related measures assessed through Week 96.

206
Enrollment
Randomized trial
2
Treatment arms
Parallel design
-1.6
Response difference
95% CI -12.0 to 8.8
0.850
P-value
Two-sided CI
FeaturePROGRESS
Trial phasePhase 3
ConditionHuman Immunodeficiency Virus Infection
AllocationRandomized
Design modelParallel
MaskingNone
Primary purposeTreatment
Enrollment206
Primary endpoints registered3
Primary endpoint typesBinary; Time-to-event
Lead sponsorAbbott
Sponsor typeIndustry
Trial statusCompleted
Start2008-07
Primary completion2009-11
ClinicalTrials.govNCT00711009

2. Clinical Question

The principal statistical question was whether a nucleoside-sparing regimen consisting of lopinavir/ritonavir plus raltegravir could provide a Week 48 virologic response rate that was not more than 20 percentage points lower than the response rate with lopinavir/ritonavir plus emtricitabine/tenofovir disoproxil fumarate.

Population

Participants enrolled in the phase 3 randomized study for human immunodeficiency virus infection. The formal efficacy analysis population was the ITT population defined by the registry as all randomized participants who received at least 1 dose of study drug.

Intervention

Lopinavir/ritonavir (LPV/r) plus raltegravir (RAL), a nucleoside-sparing regimen.

Comparator

Lopinavir/ritonavir (LPV/r) plus emtricitabine/tenofovir disoproxil fumarate (FTC/TDF).

Primary question

Was the LPV/r + RAL regimen non-inferior to LPV/r + FTC/TDF with respect to the Week 48 virologic response endpoint?

3. Trial Design

01
Randomize 206 participants
02
Two arms LPV/r + FTC/TDF or LPV/r + RAL
03
Open label No masking
04
Week 48 Virologic response
05
Week 96 Safety endpoints
ARM 1

LPV/r + FTC/TDF

  • Lopinavir/ritonavir (LPV/r)
  • Emtricitabine/tenofovir disoproxil fumarate (FTC/TDF)
ARM 2

LPV/r + RAL

  • Lopinavir/ritonavir (LPV/r)
  • Raltegravir (RAL)
  • Nucleoside-sparing regimen
Allocation
Randomized allocation was used to create the treatment comparison.
Masking
The study was not masked. The registry identifies the masking as none.
Design model
Parallel-group design with two treatment arms.
Primary purpose
Treatment.

4. Endpoints

The registry lists three primary endpoints. Their endpoint types are represented as both time-to-event and binary measures. The statistical analysis posted on ClinicalTrials.gov formally analyzes the Week 48 virologic-response endpoint; the ClinicalTrials.gov record does not contain formal statistical analyses for the two Week 96 safety-related primary endpoints.

Primary endpointTime frameTypeFormal analysis posted
Percentage of Participants Responding (Plasma HIV-1 Ribonucleic Acid [RNA] Levels Less Than 40 Copies/Milliliter [mL]) at Week 48 Based on the Food and Drug Administration (FDA) Time to Loss of Virologic Response (TLOVR) Algorithm Baseline to Week 48 Time-to-event Yes
Percentage of Participants With Moderate or Severe Treatment-emergent, Drug-related Adverse Events Week 96 Binary No formal statistical analysis reported
Primary Outcome: Percentage of Participants With Potentially Clinically Significant Laboratory Values Baseline to Week 96 Binary No formal statistical analysis reported

Week 48 virologic response definition

A participant was classified as a responder at the first of 2 consecutive visits with plasma HIV-1 RNA levels below 40 copies/mL. The participant continued to be a responder until one of the registry-defined loss-of-response conditions occurred, including 2 consecutive values greater than or equal to 40 copies/mL or the specified final-measurement condition.

Week 96 treatment-emergent drug-related adverse events

Treatment-emergent adverse events were defined as those occurring after study drug initiation and within 30 days after the last dose of study drug. The registered endpoint presents moderate or severe treatment-emergent, drug-related adverse events occurring in at least 2% of participants in either treatment arm.

Potentially clinically significant laboratory values

The third primary endpoint concerns potentially clinically significant laboratory values from baseline to Week 96. The registry definition specifies that values occurring in at least 2% of participants in either treatment arm are presented.

5. Statistical Methodology

Non-inferiority framework

The formal Week 48 analysis was explicitly a non-inferiority or equivalence analysis. The registry states that the null hypothesis was that the response rate for LPV/r + RAL was more than 20% lower than the response rate for LPV/r + FTC/TDF.

Registered non-inferiority margin
Lower confidence-limit threshold = -20%

The LPV/r + RAL arm was considered non-inferior because the lower limit of the exact 95% confidence interval for the response-rate difference was greater than or equal to -20%.

This is a fundamentally different question from asking whether the two response rates are statistically different. A superiority test asks whether the data support a difference away from zero. A non-inferiority analysis asks whether the new regimen can be ruled out as being worse than the comparator by more than a prespecified clinically acceptable margin.

Exact binomial method

The registry reports the exact binomial method, normalized here as the exact / Clopper-Pearson binomial approach. This method is useful when estimating a binomial proportion or a difference involving response proportions without relying on a large-sample normal approximation.

Difference in response percentages

The reported effect measure was the difference in the percentage of subjects responding, defined in the registry as the LPV/r + RAL response rate minus the LPV/r + FTC/TDF response rate.

Effect-measure definition
Difference = Response rate (LPV/r + RAL) − Response rate (LPV/r + FTC/TDF)

Under this definition, negative values favor the comparator numerically, while positive values favor the LPV/r + RAL arm. For non-inferiority, the critical issue is whether the lower confidence limit crosses the prespecified -20% margin.

Intention-to-treat analysis

The posted analysis used the intent-to-treat (ITT) population, defined as all randomized participants who received at least 1 dose of study drug. This preserves the randomized treatment assignment as the basis of the efficacy comparison for the population specified by the registry analysis.

Power and sample-size planning

The registry states that the planned sample size of 100 participants per treatment group provided 90% power to conclude that the LPV/r + RAL arm was non-inferior to the control arm, based on a non-inferiority margin of -20% and a type I error rate of 0.05.

The observed enrollment was 206, while the planned sample size described in the analysis notes was 100 participants per treatment group. These are distinct quantities: the former describes the enrolled trial population, whereas the latter describes the design assumption used for the stated power calculation.

6. Results: Week 48 Virologic Response

The single formal statistical analysis posted in the ClinicalTrials.gov record concerns the primary Week 48 virologic-response endpoint. The analysis compares LPV/r + RAL with LPV/r + FTC/TDF in the ITT population.

Difference in percentage of participants responding

-1.6%

95% CI: -12.0% to 8.8%   ·   P = 0.850

Difference defined as LPV/r + RAL minus LPV/r + FTC/TDF.

Analysis featureReported result
EndpointPercentage of participants responding with plasma HIV-1 RNA levels less than 40 copies/mL at Week 48 based on the FDA TLOVR algorithm
Analysis populationITT: all randomized participants who received at least 1 dose of study drug
Groups comparedLPV/r + FTC/TDF vs LPV/r + RAL
Effect measureDifference in percentage of subjects responding
Direction of differenceLPV/r + RAL minus LPV/r + FTC/TDF
Estimate-1.6%
95% confidence interval-12.0% to 8.8%
Confidence intervalTwo-sided, exact
P-value0.850
Hypothesis typeNon-inferiority or equivalence
MethodExact binomial method
Clinical Biostats interpretation

The estimated response-rate difference was -1.6 percentage points, with the difference calculated as LPV/r + RAL minus LPV/r + FTC/TDF. Thus, the point estimate places the LPV/r + RAL response rate 1.6 percentage points below the comparator response rate in this analysis.

The point estimate is not a statement that exactly 1.6% fewer individuals benefited, nor does it establish that the two regimens have identical response rates. It is an estimate of the difference between the two group-level response percentages under the registered endpoint definition.

The two-sided 95% confidence interval extends from -12.0% to 8.8%. This interval expresses statistical uncertainty around the estimated difference. It includes zero, so the registry-reported analysis does not establish a superiority difference in either direction. More importantly for the registered non-inferiority question, its lower limit of -12.0% is above the prespecified -20% non-inferiority margin.

The P-value of 0.850 should not be interpreted as the probability that the treatments are equivalent, nor as a measure of the size or clinical importance of the observed difference. P-values quantify evidence relative to a specified statistical hypothesis; they do not measure treatment magnitude. In this trial, the non-inferiority conclusion is driven by the relationship between the confidence interval and the prespecified margin rather than by treating a large P-value as proof of equality.

Because the endpoint is defined through the FDA TLOVR algorithm, the response classification incorporates the longitudinal virologic measurements specified by that algorithm. The registry labels the endpoint as time-to-event, even though the reported effect measure is a difference in the percentage classified as responders at Week 48.

Reading the non-inferiority result directly from the confidence interval

Difference in response percentage
NI margin
-20%
95% CI lower
-12.0%
Point estimate
-1.6%
95% CI upper
8.8%

The graphical scale above is only a conceptual display of the reported values; the formal decision comes from the numerical confidence interval. Since the lower confidence limit was -12.0%, it did not reach the -20% non-inferiority boundary.

What the result establishes: Based on the registry's stated decision rule, the LPV/r + RAL arm was considered non-inferior to the LPV/r + FTC/TDF arm for the Week 48 virologic-response endpoint because the lower limit of the exact 95% confidence interval was greater than or equal to -20%.

7. Other Primary Endpoints: Registry Results Without Formal Statistical Analysis

ClinicalTrials.gov lists results for the two additional primary endpoints, but the ClinicalTrials.gov record contains no corresponding formal statistical analysis with an effect estimate, confidence interval, and P-value.

Moderate or severe treatment-emergent, drug-related adverse events

Time frame: Week 96. Treatment-emergent events were defined as those occurring after study drug initiation and within 30 days after the last dose. Events occurring in at least 2% of participants in either treatment arm were presented.

Potentially clinically significant laboratory values

Time frame: baseline to Week 96. The registry presents potentially clinically significant laboratory values occurring in at least 2% of participants in either treatment arm.

For a binary safety endpoint, a formal comparison would ordinarily involve arm-specific event proportions and an appropriate measure of between-arm difference or ratio, together with a confidence interval. For the laboratory endpoint, the analysis would depend on how the clinically significant laboratory categories were defined and tabulated. Those formal comparative details are not included in the ClinicalTrials.gov record.

8. Safety Results

The ClinicalTrials.gov record provides serious adverse-event counts by treatment arm. They do not provide a formal statistical comparison or additional adverse-event rates, so the safety section is limited to the reported affected and at-risk counts.

Safety measureLPV/r + FTC/TDFLPV/r + RAL
Serious adverse events14/10512/101

LPV/r + FTC/TDF

14/105 participants were affected by serious adverse events among the reported at-risk population.

LPV/r + RAL

12/101 participants were affected by serious adverse events among the reported at-risk population.

These counts should not be converted into a formal treatment comparison without the underlying statistical-analysis specification. In particular, the ClinicalTrials.gov record does not provide a confidence interval, P-value, event-time framework, or prespecified hypothesis for serious adverse events.

Safety interpretation: The serious-adverse-event counts are descriptive. They should not be interpreted as evidence of superiority, non-inferiority, or equivalence because the ClinicalTrials.gov record does not report a formal statistical comparison for this measure.

9. Non-Inferiority: Why the Margin Matters

The central statistical teaching point in PROGRESS is that non-inferiority is not established by obtaining a nonsignificant superiority P-value. The trial prespecified a -20% non-inferiority margin, and the analysis was constructed around the confidence interval for the difference in response rates.

Decision rule stated by the registry
Non-inferior if lower limit of exact 95% CI ≥ -20%

The reported lower confidence limit was -12.0%, which lies above the -20% boundary.

This distinction matters because a wide confidence interval can include both clinically acceptable and clinically unacceptable differences. A nonsignificant superiority test alone cannot rule out a clinically important disadvantage. The non-inferiority margin supplies the explicit threshold against which the uncertainty is judged.

What the -20% margin means

The margin states the largest loss of response percentage that the trial's non-inferiority framework was designed to tolerate while still considering LPV/r + RAL non-inferior. It is therefore a design parameter, not an estimate of the observed treatment difference.

Why the lower confidence limit is decisive

The estimated difference was -1.6%, but statistical inference must account for uncertainty. The lower limit of -12.0% means that the data's uncertainty extended to a difference substantially more negative than the point estimate. Nevertheless, that lower limit remained above the -20% threshold specified by the trial.

10. Exact / Clopper-Pearson Confidence Intervals

The registry reports an exact binomial method for the primary Week 48 analysis. Exact methods are particularly useful for binomial response data because they avoid relying on an approximate normal distribution when estimating uncertainty around proportions.

Confidence interval concept
Observed response data → exact binomial inference → confidence interval for the response comparison

The resulting 95% interval reported for the response-rate difference was -12.0% to 8.8%.

The term Clopper-Pearson is commonly used for exact confidence intervals for a single binomial proportion. In the ClinicalTrials.gov record, the statistical method is "Exact / Clopper-Pearson binomial," while the reported effect measure is a difference between treatment-group response percentages. The page therefore preserves the registry's method label rather than implying that the interval can be reconstructed from a single proportion alone.

11. Intention-to-Treat Analysis

The primary analysis used an ITT population defined as all randomized participants who received at least 1 dose of study drug. This definition is important because the analysis population is part of the statistical meaning of the reported estimate.

Why randomization matters

Randomization creates the basis for comparing treatment groups without selecting participants after outcomes are known.

Why the population definition matters

The reported -1.6% difference applies to the specified ITT analysis population, not automatically to every participant enrolled under every possible analysis definition.

In a non-inferiority trial, analysis-population considerations can be especially important because departures from randomized treatment, missing assessments, and protocol deviations can affect the estimated difference and the ability to rule out clinically important inferiority. The ClinicalTrials.gov record identifies the ITT definition but does not provide sufficient detail to evaluate additional per-protocol or modified-ITT analyses.

12. Statistical Methods Explained

Why was a non-inferiority design used?

The trial was structured around whether LPV/r + RAL could retain an acceptable level of virologic response relative to LPV/r + FTC/TDF rather than requiring evidence that it produced a greater response rate. The registry specifies a -20% non-inferiority margin and a corresponding null hypothesis that the LPV/r + RAL response rate was more than 20% lower.

Why is non-inferiority judged against the margin rather than simply by the P-value?

A nonsignificant superiority test does not demonstrate that two treatments are sufficiently similar. A study can have inadequate precision to detect a difference while still being compatible with a clinically important disadvantage. The non-inferiority framework instead asks whether the confidence interval excludes differences worse than the prespecified margin.

What does the -1.6% estimate mean?

The estimate means that the Week 48 response percentage for LPV/r + RAL minus the response percentage for LPV/r + FTC/TDF was -1.6 percentage points in the reported ITT analysis. It does not mean that exactly 1.6% of participants experienced a worse outcome, and it does not by itself establish equivalence.

What does the 95% confidence interval of -12.0% to 8.8% mean?

The interval describes uncertainty around the estimated response-rate difference under the statistical method used. It includes zero, so the registry-reported analysis does not establish a superiority difference. For non-inferiority, the more important feature is that the lower limit, -12.0%, remains above -20%.

What does P = 0.850 mean?

The P-value measures the evidence against the specified null hypothesis under the test framework; it does not represent the probability that the treatments are equivalent. It also does not measure the clinical magnitude of the treatment difference. The non-inferiority conclusion should therefore be read from the prespecified margin and confidence interval rather than from the size of the P-value alone.

Why does the FDA TLOVR algorithm matter?

The endpoint is not simply a single laboratory measurement at Week 48. The registry defines response using the first of 2 consecutive visits with plasma HIV-1 RNA below 40 copies/mL and specifies conditions under which response is lost. The algorithm therefore incorporates the participant's longitudinal virologic measurements into the response classification.

Why is the analysis population explicitly defined?

Statistical estimates depend on who is included. Here, the registry defines the ITT population as all randomized participants who received at least 1 dose of study drug. Stating that definition prevents the reported estimate from being silently generalized to a different analysis population.

13. Censoring and the Time-to-Event Character of TLOVR

The registry classifies the Week 48 response endpoint as time-to-event and bases it on the FDA TLOVR algorithm. The registry-reported analysis, however, reports the final treatment comparison as a difference in the percentage of participants responding at Week 48.

This illustrates an important distinction in clinical-trial statistics: an endpoint can be defined using longitudinal or time-to-loss-of-response information while ultimately being summarized as a responder percentage at a fixed assessment time. The exact handling of all censoring and intermediate observations should be taken from the full statistical analysis plan when reconstructing the analysis in detail.

Educational note: a Kaplan-Meier curve should not be fabricated from the summary statistics reported here. A valid time-to-event reconstruction requires the underlying event and censoring information or sufficiently detailed source data.

14. Sample Size, Power, and Type I Error

The registry analysis notes state that the planned sample size of 100 participants per treatment group provided 90% power to conclude non-inferiority under a -20% non-inferiority margin and a type I error rate of 0.05.

Design quantityRegistered value
Planned sample size100 participants per treatment group
Target power90%
Non-inferiority margin-20%
Type I error rate0.05
Observed enrollment206

Power is a property of the trial design under specified assumptions; it is not the probability that the observed conclusion is correct. Similarly, the type I error rate is a prespecified error-control quantity, not a description of the observed P-value.

15. Results in Statistical Context

Point estimate

The observed response-rate difference was -1.6 percentage points, defined as LPV/r + RAL minus LPV/r + FTC/TDF.

Precision

The exact two-sided 95% confidence interval ranged from -12.0% to 8.8%, showing uncertainty on both sides of zero.

Non-inferiority boundary

The lower confidence limit of -12.0% was above the prespecified -20% non-inferiority margin.

Formal P-value

The reported P-value was 0.850. It should not be interpreted as a probability of equivalence or as a measure of effect size.

Putting these quantities together gives a more complete statistical picture than quoting the P-value alone. The point estimate is close to zero relative to the -20% margin, the confidence interval remains above that margin, and the registry therefore records the LPV/r + RAL arm as non-inferior under the stated framework.

16. What This Result Does — and Does Not — Mean

What the result means

The formal registry analysis supports the conclusion that LPV/r + RAL was considered non-inferior to LPV/r + FTC/TDF for the registered Week 48 virologic-response endpoint because the lower limit of the exact 95% confidence interval was -12.0%, above the prespecified -20% margin.

What it does not mean

Non-inferiority does not mean that the two regimens have exactly identical response rates. It also does not mean that every individual participant would experience the same virologic outcome under either regimen. The result concerns the prespecified population, endpoint definition, analysis method, and margin.

Why the confidence interval matters

The confidence interval provides information about precision that the point estimate alone cannot provide. Because the interval extends from -12.0% to 8.8%, the data are compatible with differences in either direction within that interval under the stated inferential framework.

Why the P-value should not dominate interpretation

The P-value of 0.850 does not quantify treatment equivalence and does not tell us how clinically important a -1.6% difference would be. The non-inferiority conclusion is based on the confidence interval relative to the prespecified margin.

17. Safety and Efficacy Are Different Statistical Questions

The PROGRESS registry record separates the Week 48 virologic-response endpoint from the Week 96 safety endpoints. This is statistically appropriate because efficacy and safety describe different dimensions of treatment evaluation.

DomainRegistered questionData posted on ClinicalTrials.gov for formal comparison
Virologic response Percentage responding at Week 48 under the FDA TLOVR definition Exact difference, 95% CI, and P-value
Treatment-emergent drug-related adverse events Percentage with moderate or severe events through Week 96 Endpoint definition only; no formal statistical analysis reported
Laboratory values Percentage with potentially clinically significant laboratory values from baseline to Week 96 Endpoint definition only; no formal statistical analysis reported
Serious adverse events Descriptive safety information reported by arm 14/105 vs 12/101; no formal comparison reported

A complete clinical interpretation therefore should not collapse the entire trial into the single Week 48 non-inferiority result. The registry contains distinct efficacy and safety endpoints, and the ClinicalTrials.gov record provides different levels of detail for them.

18. Design Topics Not Specified in the registry Analysis Record

Several statistical topics commonly encountered in clinical trials are not supported by the registry-reported PROGRESS data. They should not be inferred from the existence of the Week 48 analysis.

TopicWhat the ClinicalTrials.gov record supports
StratificationNo stratification factors are reported.
Factorial designThe design is identified as parallel with 2 arms; no factorial structure is reported.
CrossoverNo crossover information is reported.
Interim analysisNo interim-analysis procedure is reported.
Multiplicity adjustmentNo multiplicity-adjustment procedure is reported.
Missing-data imputationNo separate imputation method is reported.
Bayesian methodsNo Bayesian method is reported.
Cox proportional-hazards modelNo Cox model is reported for the registry-reported formal analysis.
Kaplan-Meier estimationThe endpoint is classified as time-to-event, but no Kaplan-Meier estimate is reported in the formal statistical analysis.

Keeping these distinctions explicit is important. The presence of a time-to-event endpoint does not justify inserting a Kaplan-Meier curve, Cox model, or hazard ratio when the registry-reported statistical analysis does not report one.

19. Limitations

20. Why This Trial Matters Statistically

PROGRESS is a useful teaching case because its main statistical question is not simply whether one treatment produced a statistically significant difference from another. Instead, it demonstrates how a randomized trial can be designed to determine whether an alternative regimen remains within a prespecified acceptable loss of efficacy.

ConceptHow it appears in PROGRESS
RandomizationParticipants were randomized to 2 parallel treatment arms.
Non-inferiority designThe primary formal analysis tested whether LPV/r + RAL could be considered non-inferior to LPV/r + FTC/TDF.
Non-inferiority marginThe registered margin was -20%.
Confidence intervalThe exact two-sided 95% CI for the response difference was -12.0% to 8.8%.
Exact binomial methodThe registry reports an exact binomial method, normalized as Exact / Clopper-Pearson binomial.
ITT analysisThe formal analysis used all randomized participants who received at least 1 dose of study drug.
P-value interpretationP = 0.850 illustrates why a P-value should not be treated as evidence of equivalence.
Time-to-event endpointThe Week 48 response endpoint is classified as time-to-event and uses the FDA TLOVR algorithm.
Safety endpointsTwo additional primary endpoints assess treatment-emergent drug-related adverse events and potentially clinically significant laboratory values.

21. A Practical Non-Inferiority Reading Strategy

When reading a trial such as PROGRESS, a useful sequence is to identify the estimand, the direction of the treatment difference, the non-inferiority margin, and the confidence interval before looking at the P-value.

01
Identify Endpoint and population
02
Define Direction of difference
03
Locate Non-inferiority margin
04
Inspect Confidence interval
05
Interpret Margin, precision, P-value

For PROGRESS, this sequence gives: Week 48 virologic response in the specified ITT population; LPV/r + RAL minus LPV/r + FTC/TDF; -20% margin; 95% CI -12.0% to 8.8%; and P = 0.850. The lower confidence limit remains above the non-inferiority boundary.

22. Clinical Interpretation vs Statistical Interpretation

Statistical interpretation

The formal Week 48 analysis estimated a response-rate difference of -1.6%, with an exact two-sided 95% CI of -12.0% to 8.8%. The lower limit was above the prespecified -20% non-inferiority margin, so the LPV/r + RAL arm was considered non-inferior under the registered framework.

Clinical interpretation

The statistical conclusion concerns the registered virologic-response endpoint and its prespecified non-inferiority criterion. It should not be expanded into treatment recommendations or claims about safety, long-term outcomes, or individual patient benefit beyond the data reported.

23. Overall Statistical Interpretation

Primary conclusion from the reported analysis

The PROGRESS Week 48 analysis reported a -1.6% difference in the percentage of participants responding, with a 95% CI of -12.0% to 8.8% and P = 0.850. The analysis used the ITT population and an exact binomial method.

The key non-inferiority result is that the lower confidence limit of -12.0% remained above the prespecified -20% margin. Under the registry's stated decision rule, LPV/r + RAL was therefore considered non-inferior to LPV/r + FTC/TDF for the Week 48 virologic-response endpoint.

The statistical story is consequently more informative than the P-value alone. The point estimate was -1.6 percentage points, the uncertainty interval extended from -12.0% to 8.8%, and the entire confidence interval remained above the non-inferiority threshold. At the same time, the ClinicalTrials.gov record does not provide formal comparative analyses for the two other registered primary endpoints, so those endpoints should be kept separate from the Week 48 efficacy conclusion.

24. Related Tutorials

Learn more about the methods used in this trial:

25. Related Statistical Calculators

26. Sources

Continue through the Clinical Biostats statistical tutorials

Explore the statistical concepts behind randomized trials, non-inferiority margins, confidence intervals, categorical endpoints, and time-to-event analyses.

27. Record Summary

PROGRESS provides a focused example of non-inferiority trial methodology. The randomized phase 3 study compared LPV/r + FTC/TDF with LPV/r + RAL in a parallel, unmasked design with 206 enrolled participants. Its principal formal statistical analysis used the ITT population and an exact binomial method to estimate the difference in Week 48 virologic-response percentages. The reported difference was -1.6%, with a two-sided exact 95% confidence interval of -12.0% to 8.8% and P = 0.850.

The most important statistical feature is the relationship between that confidence interval and the prespecified -20% non-inferiority margin. Because the lower confidence limit remained above the margin, the registry's analysis considered LPV/r + RAL non-inferior to LPV/r + FTC/TDF for the registered Week 48 endpoint. The two additional primary endpoints concern Week 96 treatment-emergent drug-related adverse events and potentially clinically significant laboratory values, but the ClinicalTrials.gov record does not provide formal comparative statistical analyses for them. Serious adverse-event counts are reported descriptively as 14/105 for LPV/r + FTC/TDF and 12/101 for LPV/r + RAL.

Clinical Biostats methodology: The goal of a trial-results page is to reconstruct the statistical story from the reported evidence while distinguishing the observed estimate, its uncertainty, the prespecified decision rule, and the limits of what the available analysis supports.